I'd have to spend some time on this to give you a clear answer, but one factor may be that EN 566 is a mountaineering equipment standard whereas EN 354 is a general PPE standard. The PPE Directive, under which these standards are harmonised, requires PPE to provide "the highest possible level of protection" so this is what the general PPE standards do, but the mountaineering standards frequently contain lesser requirements (usually in the form of more than one class of equipment) than the maximum which are technically feasible.
This is partly because of the trade-off between performance and weight which is more important for climbers than for professional roped access workers, but also it's a recognition of the fact that there's not much point in making manufacturers of climbing gear provide the highest level of protection when any sane person would not try to hang off a cliff by their fingernails in the first place.
Nick.